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Finding the Fourth Proportional to 144,964.44, 200,051.64 and 81,305.64

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Solution

The fourth proportional to 144,964.44, 200,051.64 and 81,305.64 is: 112,202.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,964.44 : 200,051.64 = 81,305.64 : x
  2. Step 2: Convert to fraction form
    144,964.44/200,051.64 = 81,305.64/x
  3. Step 3: Cross multiply
    144,964.44x = 200,051.64 × 81,305.64
  4. Step 4: Simplify right side
    144,964.44x = 16,265,326,623.25
  5. Step 5: Solve for x
    x = 16,265,326,623.25/144,964.44
  6. Step 6: Final answer
    x = 112,202.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.